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arXiv · 1603.02067

Numerical Solution of a Nonlinear Integro-Differential Equation

J. Buša·M. Hnatič·J. Honkonen·T. Lučivjanský
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Abstract

An algorithm for the numerical solution of a nonlinear integro-differential equation arising in the single-species annihilation reaction $A + A \rightarrow\varnothing$ modeling is discussed. Finite difference method together with the linear approximation of the unknown function is considered. For divergent integrals presented in the equation for dimension $d=2$ a regularization is used. Some numerical results are presented.

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J. Buša, M. Hnatič, J. Honkonen, T. Lučivjanský. 2016-02-23. Numerical Solution of a Nonlinear Integro-Differential Equation. https://doi.org/10.1051/epjconf%2F201610802017

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